Question

The base of a pyramid is a rectangle with a width of 4.6 cm and a length of 9 cm. What is the height, in centimeters, of the pyramid if its volume is 82.8 cubic cm?

A. 6 cm
B. 2 cm
C. 9 cm
D. 18 cm

Answer 1

Given:

Given that the base of a pyramid is a rectangle with a width of 4.6 cm and a length of 9 cm.

The volume of the pyramid is 82.8 cubic cm.

We need to determine the height of the pyramid.

Height of the pyramid:

The height of the pyramid can be determined using the formula,

`V=(lwh)/(3)`

Substituting the values, we get;

`82.8=(9* 4.6 * h)/(3)`

Multiplying both sides by 3, we get;

`248.4=41.4 * h`

Dividing both sides by 41.4, we have;

`6=h`

Thus, the height of the rectangular pyramid is 6 cm.

Hence, Option A is the correct answer.